Impact of releasing period and magnitude on mosquito population in a sterile release model with delay
Impact of releasing period and magnitude on mosquito population in a sterile release model with delay
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DOI：
10.1007/s00285-022-01785-5
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发表时间：
2022-08
影响因子：
1.9
通讯作者：
Bo Zheng
中科院分区：
文献类型：
--
作者：
Bo Zheng
假设在成熟期间饲养和释放多批不育雄性，我们推导出切换延迟微分模型来研究野生雌性在不育雄性的冲动和周期性释放下的命运。对于每个batchc的释放幅度，我们找到两个阈值and，并证明，当时，模型恰好承认两个周期解，其中一个是渐近稳定的，另一个是不稳定的。相当于消除野生雌性的平凡平衡是局部渐近稳定的，当 时，它变得全局渐近稳定。一个关键步骤是证明每个解决方案都夹在两个“好”解决方案之间。
Assuming that there are multiple batches of sterile males reared and released during the maturation period, we derive a switching delay differential model to study the fate of wild females under an impulsive and periodic release of sterile males. For the release magnitude of each batchc, we find two threshold valuesand, and prove that when, the model admits exactly two periodic solutions, among which one is asymptotically stable and the other is unstable. The trivial equilibrium, corresponding to the elimination of wild females, is locally asymptotically stable, and it becomes globally asymptotically stable when. One key step is to prove that every solution is sandwiched between two “good” solutions.